Twisted superfluids in moving frame

Abstract

{Helical waveguide filled by superfluid is shown to transform the linear displacements of reference frame $\vec V$ into rotations of atomic ensemble and vise versa rotations of reference frame $\vec \Omega_{\oplus}$ are the cause of linear displacements of ensemble. In mean-field Gross-Pitaevskii equation with a weakly modulated gravitation the exact solutions for macroscopic wavefunction $\Psi$ demonstrate the emergence of $redshift$ phase factor being proportional to the population of condensate $N_a$. is shown to have}Comment: 6 pages, 2 figures , submitted to referred journa